TSTP Solution File: GRP512-1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : GRP512-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sat May  4 07:53:04 EDT 2024

% Result   : Unsatisfiable 272.14s 136.66s
% Output   : CNFRefutation 272.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    2
% Syntax   : Number of clauses     :   16 (  16 unt;   0 nHn;   4 RR)
%            Number of literals    :   16 (  15 equ;   3 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   31 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
    multiply(multiply(multiply(X1,X2),X3),inverse(multiply(X1,X3))) = X2,
    file('/export/starexec/sandbox/tmp/tmp.ujlPQr8YgQ/E---3.1_21672.p',single_axiom) ).

cnf(prove_these_axioms_4,negated_conjecture,
    multiply(a,b) != multiply(b,a),
    file('/export/starexec/sandbox/tmp/tmp.ujlPQr8YgQ/E---3.1_21672.p',prove_these_axioms_4) ).

cnf(c_0_2,axiom,
    multiply(multiply(multiply(X1,X2),X3),inverse(multiply(X1,X3))) = X2,
    single_axiom ).

cnf(c_0_3,plain,
    multiply(multiply(X1,X2),inverse(multiply(multiply(multiply(X3,X1),X4),X2))) = inverse(multiply(X3,X4)),
    inference(spm,[status(thm)],[c_0_2,c_0_2]) ).

cnf(c_0_4,plain,
    multiply(X1,inverse(multiply(multiply(X2,X1),inverse(multiply(X2,X3))))) = X3,
    inference(spm,[status(thm)],[c_0_2,c_0_2]) ).

cnf(c_0_5,plain,
    multiply(multiply(X1,inverse(multiply(X2,X3))),inverse(X1)) = inverse(multiply(X2,X3)),
    inference(spm,[status(thm)],[c_0_3,c_0_2]) ).

cnf(c_0_6,plain,
    inverse(multiply(X1,multiply(X2,inverse(multiply(multiply(X1,X2),X3))))) = X3,
    inference(spm,[status(thm)],[c_0_4,c_0_3]) ).

cnf(c_0_7,plain,
    multiply(multiply(X1,X2),inverse(X1)) = X2,
    inference(spm,[status(thm)],[c_0_5,c_0_6]) ).

cnf(c_0_8,plain,
    multiply(X1,inverse(multiply(X2,X1))) = inverse(X2),
    inference(spm,[status(thm)],[c_0_7,c_0_7]) ).

cnf(c_0_9,plain,
    multiply(X1,inverse(inverse(X2))) = multiply(X2,X1),
    inference(spm,[status(thm)],[c_0_4,c_0_8]) ).

cnf(c_0_10,plain,
    multiply(X1,multiply(inverse(X1),X2)) = X2,
    inference(spm,[status(thm)],[c_0_7,c_0_9]) ).

cnf(c_0_11,negated_conjecture,
    multiply(a,b) != multiply(b,a),
    inference(fof_simplification,[status(thm)],[prove_these_axioms_4]) ).

cnf(c_0_12,plain,
    multiply(inverse(inverse(X1)),X2) = multiply(X1,X2),
    inference(spm,[status(thm)],[c_0_10,c_0_10]) ).

cnf(c_0_13,negated_conjecture,
    multiply(a,b) != multiply(b,a),
    c_0_11 ).

cnf(c_0_14,plain,
    multiply(X1,X2) = multiply(X2,X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_12]),c_0_9]),c_0_9]) ).

cnf(c_0_15,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : GRP512-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.07/0.15  % Command    : run_E %s %d THM
% 0.15/0.36  % Computer : n009.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 15:52:08 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.22/0.50  Running first-order theorem proving
% 0.22/0.50  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.ujlPQr8YgQ/E---3.1_21672.p
% 272.14/136.66  # Version: 3.1.0
% 272.14/136.66  # Preprocessing class: FSSSSMSSSSSNFFN.
% 272.14/136.66  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 272.14/136.66  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 272.14/136.66  # Starting new_bool_3 with 300s (1) cores
% 272.14/136.66  # Starting new_bool_1 with 300s (1) cores
% 272.14/136.66  # Starting sh5l with 300s (1) cores
% 272.14/136.66  # sh5l with pid 21763 completed with status 0
% 272.14/136.66  # Result found by sh5l
% 272.14/136.66  # Preprocessing class: FSSSSMSSSSSNFFN.
% 272.14/136.66  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 272.14/136.66  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 272.14/136.66  # Starting new_bool_3 with 300s (1) cores
% 272.14/136.66  # Starting new_bool_1 with 300s (1) cores
% 272.14/136.66  # Starting sh5l with 300s (1) cores
% 272.14/136.66  # SinE strategy is gf500_gu_R04_F100_L20000
% 272.14/136.66  # Search class: FUUPF-FFSF21-MFFFFFNN
% 272.14/136.66  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 272.14/136.66  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 272.14/136.66  # SAT001_MinMin_p005000_rr_RG with pid 21768 completed with status 0
% 272.14/136.66  # Result found by SAT001_MinMin_p005000_rr_RG
% 272.14/136.66  # Preprocessing class: FSSSSMSSSSSNFFN.
% 272.14/136.66  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 272.14/136.66  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 272.14/136.66  # Starting new_bool_3 with 300s (1) cores
% 272.14/136.66  # Starting new_bool_1 with 300s (1) cores
% 272.14/136.66  # Starting sh5l with 300s (1) cores
% 272.14/136.66  # SinE strategy is gf500_gu_R04_F100_L20000
% 272.14/136.66  # Search class: FUUPF-FFSF21-MFFFFFNN
% 272.14/136.66  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 272.14/136.66  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 272.14/136.66  # Preprocessing time       : 0.001 s
% 272.14/136.66  # Presaturation interreduction done
% 272.14/136.66  
% 272.14/136.66  # Proof found!
% 272.14/136.66  # SZS status Unsatisfiable
% 272.14/136.66  # SZS output start CNFRefutation
% See solution above
% 272.14/136.66  # Parsed axioms                        : 2
% 272.14/136.66  # Removed by relevancy pruning/SinE    : 0
% 272.14/136.66  # Initial clauses                      : 2
% 272.14/136.66  # Removed in clause preprocessing      : 0
% 272.14/136.66  # Initial clauses in saturation        : 2
% 272.14/136.66  # Processed clauses                    : 14
% 272.14/136.66  # ...of these trivial                  : 0
% 272.14/136.66  # ...subsumed                          : 0
% 272.14/136.66  # ...remaining for further processing  : 14
% 272.14/136.66  # Other redundant clauses eliminated   : 0
% 272.14/136.66  # Clauses deleted for lack of memory   : 0
% 272.14/136.66  # Backward-subsumed                    : 0
% 272.14/136.66  # Backward-rewritten                   : 2
% 272.14/136.66  # Generated clauses                    : 186
% 272.14/136.66  # ...of the previous two non-redundant : 140
% 272.14/136.66  # ...aggressively subsumed             : 0
% 272.14/136.66  # Contextual simplify-reflections      : 0
% 272.14/136.66  # Paramodulations                      : 186
% 272.14/136.66  # Factorizations                       : 0
% 272.14/136.66  # NegExts                              : 0
% 272.14/136.66  # Equation resolutions                 : 0
% 272.14/136.66  # Disequality decompositions           : 0
% 272.14/136.66  # Total rewrite steps                  : 31
% 272.14/136.66  # ...of those cached                   : 7
% 272.14/136.66  # Propositional unsat checks           : 0
% 272.14/136.66  #    Propositional check models        : 0
% 272.14/136.66  #    Propositional check unsatisfiable : 0
% 272.14/136.66  #    Propositional clauses             : 0
% 272.14/136.66  #    Propositional clauses after purity: 0
% 272.14/136.66  #    Propositional unsat core size     : 0
% 272.14/136.66  #    Propositional preprocessing time  : 0.000
% 272.14/136.67  #    Propositional encoding time       : 0.000
% 272.14/136.67  #    Propositional solver time         : 0.000
% 272.14/136.67  #    Success case prop preproc time    : 0.000
% 272.14/136.67  #    Success case prop encoding time   : 0.000
% 272.14/136.67  #    Success case prop solver time     : 0.000
% 272.14/136.67  # Current number of processed clauses  : 10
% 272.14/136.67  #    Positive orientable unit clauses  : 9
% 272.14/136.67  #    Positive unorientable unit clauses: 1
% 272.14/136.67  #    Negative unit clauses             : 0
% 272.14/136.67  #    Non-unit-clauses                  : 0
% 272.14/136.67  # Current number of unprocessed clauses: 130
% 272.14/136.67  # ...number of literals in the above   : 130
% 272.14/136.67  # Current number of archived formulas  : 0
% 272.14/136.67  # Current number of archived clauses   : 4
% 272.14/136.67  # Clause-clause subsumption calls (NU) : 0
% 272.14/136.67  # Rec. Clause-clause subsumption calls : 0
% 272.14/136.67  # Non-unit clause-clause subsumptions  : 0
% 272.14/136.67  # Unit Clause-clause subsumption calls : 9
% 272.14/136.67  # Rewrite failures with RHS unbound    : 0
% 272.14/136.67  # BW rewrite match attempts            : 40
% 272.14/136.67  # BW rewrite match successes           : 33
% 272.14/136.67  # Condensation attempts                : 0
% 272.14/136.67  # Condensation successes               : 0
% 272.14/136.67  # Termbank termtop insertions          : 1629
% 272.14/136.67  # Search garbage collected termcells   : 2
% 272.14/136.67  
% 272.14/136.67  # -------------------------------------------------
% 272.14/136.67  # User time                : 0.005 s
% 272.14/136.67  # System time              : 0.003 s
% 272.14/136.67  # Total time               : 0.008 s
% 272.14/136.67  # Maximum resident set size: 1620 pages
% 272.14/136.67  
% 272.14/136.67  # -------------------------------------------------
% 272.14/136.67  # User time                : 0.005 s
% 272.14/136.67  # System time              : 0.006 s
% 272.14/136.67  # Total time               : 0.012 s
% 272.14/136.67  # Maximum resident set size: 1680 pages
% 272.14/136.67  % E---3.1 exiting
% 272.14/136.67  % E exiting
%------------------------------------------------------------------------------